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log3(2x-5)=2

Answer is 41/2.  Why?



Sagot :

I guess that your question is:

[tex]log[6*(2x-5)]=2[/tex]

So, we can apply this property of log

[tex]log_b~(a)=c\Leftrightarrow a=b^c[/tex]

them...

[tex]log[6*(2x-5)]=2[/tex]

[tex]6*(2x-5)=10^2[/tex]

[tex]12x-30=100[/tex]

[tex]12x=100+30[/tex]

[tex]12x=130[/tex]

[tex]x=\frac{130}{12}[/tex]

simplifying

[tex]\boxed{\boxed{x=\frac{65}{6}}}[/tex]

Answer:

0.954243x−2.385606=2

Let's solve your equation step-by-step.

0.954243x−2.385606=2

Step 1: Add 2.385606 to both sides.

0.954243x−2.385606+2.385606=2+2.385606

0.954243x=4.385606

Step 2: Divide both sides by 0.954243.

0.954243x/0.954243 = 4.385606/0.954243

x=4.595901

Answer:

x=4.595901

Step-by-step explanation: